On the sanskrutı index of certain line graphs of subdivision graphs

Abstract

Derived graphs such as line, total, subdivision, r-subdivision, etc. graphs are used in making complex calculations easier. A topological index is a mathematical formula which gives some mathematical value which can be commented to get information on some property of the real life situation, a molecule, a network, etc. which is modelled by means of the graph under investigation. Recently Hosamani [7] put forward a novel topological index, namely the Sanskruti index of a molecular graph G. In this paper we compute the Sanskruti index of the line graph of tadpole, wheel and ladder graphs using the notion of subdivision.